First slide

Evaluation of definite integrals

Question

$\int_{0}^{2} [\frac{x}{2}] d x$ is equal to

Moderate

A

$1$
B

$2$
C

$0$
D

None f these

Solution

$0 \leq x < 2 \Rightarrow 0 \leq \frac{x}{2} < 1$
$\Rightarrow [\frac{x}{2}] = 0 \forall x \in [0, 2)$

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